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2258057950568 = 237973071354057
BaseRepresentation
bin100000110110111110101…
…111011111010101101000
321222212102221102000012222
4200312332233133111220
5243444000313404233
64445200522253212
7322065531615050
oct40667657372550
97885387360188
102258057950568
117a0700933612
12305763057208
13134c1ab76544
147b40d532560
153db0d43c898
hex20dbebdf568

2258057950568 has 64 divisors (see below), whose sum is σ = 4904506400640. Its totient is φ = 954641977344.

The previous prime is 2258057950549. The next prime is 2258057950579. The reversal of 2258057950568 is 8650597508522.

It is a self number, because there is not a number n which added to its sum of digits gives 2258057950568.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990596 + ... + 2344652.

It is an arithmetic number, because the mean of its divisors is an integer number (76632912510).

Almost surely, 22258057950568 is an apocalyptic number.

2258057950568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258057950568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452253200320).

2258057950568 is an abundant number, since it is smaller than the sum of its proper divisors (2646448450072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2258057950568 is a wasteful number, since it uses less digits than its factorization.

2258057950568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354474 (or 1354470 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 62.

The spelling of 2258057950568 in words is "two trillion, two hundred fifty-eight billion, fifty-seven million, nine hundred fifty thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 97 194 307 388 614 679 776 1228 1358 2149 2456 2716 4298 5432 8596 17192 29779 59558 119116 208453 238232 416906 833812 1354057 1667624 2708114 5416228 9478399 10832456 18956798 37913596 75827192 131343529 262687058 415695499 525374116 831390998 919404703 1050748232 1662781996 1838809406 2909868493 3325563992 3677618812 5819736986 7355237624 11639473972 23278947944 40322463403 80644926806 161289853612 282257243821 322579707224 564514487642 1129028975284 2258057950568